Averages - Level 6
Test your understanding of averages with this self marking quiz about mean, median and range.
This is level 6; Mean, median, mode and range from a grouped frequency table. You can earn a trophy if you get at least 9 questions correct.
Give the answers to questions marked with an asterisk (*) to three significant figures.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.
Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:
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Level 1 - Mean from a list
Level 2 - Range and mode from a list
Level 3 - Median from a list
Level 4 - Mixed 'wordy' questions
Level 5 - Mean, median, mode and range from a frequency table
Level 6 - Mean, median, mode and range from a grouped frequency table
Level 7 - Mean, median, mode and range from a bar chart
More Averages A wide range of interactive activities, puzzles, lesson starters and videos about mode, median, mean and range.
See the National Curriculum page for links to related online activities and resources.
To find the mean of a set of values add them together then divide by the number of values.
Example: find the mean of 8,9,10: 8+9+10=27, 27÷3=9: The mean is 9
To find the median of a set of values arrange them in order then choose the middle value. If their are two middle values select the answer that is half way between those values.
Example: find the median of 4,12,7,6: In order 4,6,7,12: (6+7)÷2: The median is 6.5
A formula for finding which is the middle value if there are N values is (N+1)/2. You can see why there is an 'add one' here.
The mode of a set of values is the value that occurs most times.
Example: find the mode of 2,4,4,1: The mode is 4.
The range of a set of values is the smallest value subtracted from the largest.
Example: find the range of 2,4,4,1: 4-1=3: The range is 3.
More Averages activities.
The video above is from MathsWatch
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.